A separate great circle coordinate system is defined for each stripe
(§ 3.2.2). In these systems, the stripe center is
the equivalent of the equator in the equatorial
system. Pixel coordinates are corrected for empirically derived optical
distortion terms, and the resulting mapping from corrected
CCD row and column pixel positions to great circle longitude and latitude
is linear to very good approximation.
Astrometric solutions are carried out in this coordinate system. One
of two reduction strategies is employed depending upon the coverage of
astrometric catalogs:
For each r frame, these mappings result in an affine transformation relating corrected pixel positions to celestial coordinates. A secondary catalog is produced from the detections on the r CCDs. This secondary catalog is then matched to centroid positions on the i, u, z, and g CCDs to derive affine transformations in those filters. The transformation also includes terms to correct for differential chromatic refraction and those terms are applied when the colors of objects are known (Table 16). Positions of detected objects given in this EDR have had this correction applied.